The midfielder, 32, is now inside the final 12 months of his current contract.
Rosicky told the Mirror: "I'm trying to play every game like it's going to be my last. Everyone can see that and I'll continue to play like that.
"This is my last season. It's not in the back of my mind that I'm playing for a new deal. I'm just trying to give my best for my team and my team-mates.
"I'm enjoying playing football again and we will see how it goes. But I'm not in a rush. I've said many times already that I would love to finish my career at Arsenal.
"The big part is the experience I have. I've been through happy times, bad times and everything. I'm 32 years old so I have a lot of stuff behind me already. All these tough games are the most interesting ones. You want to play in them and I'm no different in that."